Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules

Abstract

We investigate hidden-charm molecular states in ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ systems using the one-boson exchange model. By regulating the short-range interactions with parameter $a$ and cutoff $\Lambda$, we found ten bound states in isoscalar systems. Our analysis reveals that if the LHCb Collaboration's $P_{cs}(4459)$ and Belle Collaboration's $P_{cs}(4472)$ pentaqurks are indeed distinct states, their mass splitting can be resolved through ${\Xi }_c^{\prime }\bar{D}$-${\Xi }_c{\bar{D}}^{\ast }$ coupled channel dynamics using consistent model parameters. This framework assigns $3/2^{-}$ and $1/2^{-}$ spin-parity quantum numbers to $P_{cs}(4459)$ and $P_{cs}(4472)$, respectively. With this consistent model parameter, we predict several new molecular candidates in the $4.3-4.7$ GeV mass region, demonstrating the crucial interplay between coupled channel effects and short-range dynamics in understanding hidden-charm pentaquarks as hadronic molecules. Additionally, we investigate the effects of $\Lambda {\eta }_c$ and $\Lambda J/\psi$ decay channels on the predicted molecular states, showing how these channels influence pole positions and provide insights into the detectability of these states through different production mechanisms.

17 pages, 7 figures, 9 tables

References in corpus (41)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• An updated review of the new hadron states
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• A survey of heavy-heavy hadronic molecules
• X(3872) and Other Possible Heavy Molecular States
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Is X(3872) a molecule?
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Observation of a $J/\psi \Lambda$ resonance consistent with a strange pentaquark candidate in $B^{-}\to J/\psi \Lambda \bar{p}$ decays
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• Evidence for a new structure in the $J/\psi p$ and $J/\psi \bar{p}$ systems in $B_s^0\to J/\psi p\bar{p}$ decays
• Revisiting the nature of the $P_c$ pentaquarks
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• Strong decays of the newly $P_{cs}(4459)$ as a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecule
• A new look at the $P_{cs}$ states from a molecular perspective
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• New strange pentaquarks
• Hidden Charm Pentaquark $P_c(4380)$ and Doubly Charmed Baryon ${\Xi }_{cc}^{\ast }(4380)$ as Hadronic Molecule States
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Review of the QCD sum rules for exotic states
• Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Anticharmed strange pentaquarks from the one-boson-exchange model
• $\sigma$ exchange in the one-boson exchange model involving the ground state octet baryons
• Double pole structures of $X_1(2900)$ as the $P$-wave ${\bar{D}}^{\ast }{K}^{\ast }$ resonances
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Establishing the vector-meson-exchange dominance for the short range interactions of light quarks